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Finding the Fourth Proportional to 207,971.85, 311,957.85 and 58,234.23

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Solution

The fourth proportional to 207,971.85, 311,957.85 and 58,234.23 is: 87,351.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,971.85 : 311,957.85 = 58,234.23 : x
  2. Step 2: Convert to fraction form
    207,971.85/311,957.85 = 58,234.23/x
  3. Step 3: Cross multiply
    207,971.85x = 311,957.85 × 58,234.23
  4. Step 4: Simplify right side
    207,971.85x = 18,166,625,187.21
  5. Step 5: Solve for x
    x = 18,166,625,187.21/207,971.85
  6. Step 6: Final answer
    x = 87,351.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.